What is the answer to 4^x=3(2)^x ?

The answer to 4^x=3(2)^x is x=(ln(3))/(ln(2))

Solve for x: 4^x=3(2)^x

The solution is x=(ln(3))/(ln(2))

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4^{x} = 3 (2)^{x}

x = \frac{ln ( 3 )}{ln ( 2 )}

Decimal Notation

x = 1.58496 \dots

Solution steps

4^{x} = 3 (2)^{x}

Apply exponent rules

2 x ln (2) = ln (3) + x ln (2)

Solve

2 x ln (2) = ln (3) + x ln (2) : x = \frac{ln ( 3 )}{ln ( 2 )}

x = \frac{ln ( 3 )}{ln ( 2 )}

3^{(1 + 2 x)} = 27

2^{n} = 40

3^{2 x + 5} = 81

e^{2 x} = e^{x} + 132

20 (1.07)^{x} = 8 (1.13)^{x}

What is the answer to 4^x=3(2)^x ?
The answer to 4^x=3(2)^x is x=(ln(3))/(ln(2))
Solve for x: 4^x=3(2)^x
The solution is x=(ln(3))/(ln(2))